针对多面体不确定系统,基于参数相关Lyapunov函数的方法,研究了考虑执行器故障的可靠跟踪控制器的设计问题.利用描述系统方法,得到可靠跟踪控制器存在的充分条件.状态反馈可靠跟踪控制器设计方法可以归结为求解一族线性矩阵不等式(LMIs).通过飞行控制系统的实例仿真验证了文中提出的设计方法的可行性.
The problem of robust reliable tracking controller design against actuator faults for systems with polytopic type uncertainty is addressed based on the parameter-dependent Lyapunov function approach. A descriptor system approach is taken to derive a sufficient condition for the existence of a reliable tracking controller. A state feedback reliable tracking controller is designed by solving a set of linear matrix inequalities (LMIs). A flight control example is given to illustrate the effectiveness of the proposed method.